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arxiv: 0904.2558 · v2 · pith:2JMQUX5Unew · submitted 2009-04-16 · 🧮 math.QA · math.RT

Finite dimensional pointed Hopf algebras over S₄

classification 🧮 math.QA math.RT
keywords algebrashopfpointeddimensionalfinitewhosealgebraicallyassociated
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Let k be an algebraically closed field of characteristic 0. We conclude the classification of finite dimensional pointed Hopf algebras whose group of group-likes is S_4. We also describe all pointed Hopf algebras over S_5 whose infinitesimal braiding is associated to the rack of transpositions.

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